Flat Modules and Grobner Bases over Truncated Discrete Valuation Rings (Japan-Korea joint seminar on number theory and related topics 2008) Flat Modules and Groebner Bases over Truncated Discrete Valuation Rings

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Author(s)

Abstract

We present basic properties of Gröbner bases of submodules of a free module of finite rank over a polynomial ring <I>R</I> with coefficients in a graded truncated discrete valuations ring <I>A</I>. As an application, we give a criterion for a finitely generated <I>R</I>-module to be flat over <I>A</I>. Its non-graded version is also given.

Journal

  • Interdisciplinary Information Sciences

    Interdisciplinary Information Sciences 16(1), 33-37, 2010

    Graduate School of Information Sciences, Tohoku University

Codes

  • NII Article ID (NAID)
    110009794871
  • NII NACSIS-CAT ID (NCID)
    AA11032627
  • Text Lang
    ENG
  • Article Type
    departmental bulletin paper
  • ISSN
    1340-9050
  • Data Source
    NII-ELS  IR  J-STAGE 
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